SOLUTION: I am working on a story problem and am unable to figure out how to set it up to figure out the solution: Find 2 consecutive even integers that the sum of the larger and twice the

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: I am working on a story problem and am unable to figure out how to set it up to figure out the solution: Find 2 consecutive even integers that the sum of the larger and twice the       Log On


   

Question 17704: I am working on a story problem and am unable to figure out how to set it up to figure out the solution:
Find 2 consecutive even integers that the sum of the larger and twice the smaller is 62.
Thank you.
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two integers be (x*2) and (x*2+2)
This is because any number multiplied by two becomes an even number,and adding two makes the second number even as well.


Now from the question,
(x*2+2)+2*(x*2)=62
2x+2+2(2x)=62
2x+4x+2=62
6x=62-2
6x=60
x=10


First number=(x*2)=20
Second number=20+2=22


Hope this helps,
Prabhat